MATH 300 REVIEW 1. The Arithmetic of Complex Numbers 1.1. The Algebra of Complex Numbers. (1) (2) (3) (4) (5) (6) (7) (8) (9) 1, 2, 3, many 1, 2, 3, . . . Operations on positive integers; addition and multiplication: a + b and ab The Greeks thought of num
7.4 Diagonalization
Fact 7.4.1 The matrix of a linear transformation with respect to an eigenbasis is
diagonal
Consider a transformation T x = Ax, where A
is an n n matrix. Suppose B is an eigenbasis for T consisting of vectors v1, v2, ., vn, with
Avi = i
THE UNIVERSITY OF AKRON
Department of Theoretical and Applied Mathematics
LESSON 6:
TRIGONOMETRIC IDENTITIES
by
Thomas E. Price
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Copyright c 1999-2001 teprice@uakron.edu
Last Revision Date: August 17, 2001
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